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Simplifying 3[x + 2(4x + -1)] = 7x + 4 Reorder the terms: 3[x + 2(-1 + 4x)] = 7x + 4 3[x + (-1 * 2 + 4x * 2)] = 7x + 4 3[x + (-2 + 8x)] = 7x + 4 Reorder the terms: 3[-2 + x + 8x] = 7x + 4 Combine like terms: x + 8x = 9x 3[-2 + 9x] = 7x + 4 [-2 * 3 + 9x * 3] = 7x + 4 [-6 + 27x] = 7x + 4 Reorder the terms: -6 + 27x = 4 + 7x Solving -6 + 27x = 4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + 27x + -7x = 4 + 7x + -7x Combine like terms: 27x + -7x = 20x -6 + 20x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + 20x = 4 + 0 -6 + 20x = 4 Add '6' to each side of the equation. -6 + 6 + 20x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 20x = 4 + 6 20x = 4 + 6 Combine like terms: 4 + 6 = 10 20x = 10 Divide each side by '20'. x = 0.5 Simplifying x = 0.5
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